162363921984 has 336 divisors, whose sum is σ = 531767710656. Its totient is φ = 48708864000.

The previous prime is 162363921977. The next prime is 162363921989. The reversal of 162363921984 is 489129363261.

162363921984 is a `hidden beast` number, since 1 + 6 + 2 + 363 + 92 + 198 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 162363921984.

It is not an unprimeable number, because it can be changed into a prime (162363921989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17273574 + ... + 17282970.

It is an arithmetic number, because the mean of its divisors is an integer number (1582641996).

Almost surely, 2^162363921984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162363921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265883855328).

162363921984 is an abundant number, since it is smaller than the sum of its proper divisors (369403788672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162363921984 is a wasteful number, since it uses less digits than its factorization.

162363921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536 (or 9514 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 162363921984 in words is "one hundred sixty-two billion, three hundred sixty-three million, nine hundred twenty-one thousand, nine hundred eighty-four".